Stable rank one for non-Z-stable crossed products

Determine whether the crossed product C(X) ⋊ G always has stable rank one when the action G ↷ X is minimal and topologically free, admits an invariant measure, and is not assumed to have the small boundary property.

Background

Z-stability implies stable rank one in the relevant finite setting, but the question concerns simple nuclear crossed products that may not be Z-stable. Positive results are known for several classes of acting groups and actions, while the general case remains unresolved.